A length is measured as 100.0 m with an uncertainty of ±0.5 m. What is the signi

Practice Questions

Q1
A length is measured as 100.0 m with an uncertainty of ±0.5 m. What is the significant figure of the measurement?
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Questions & Step-by-Step Solutions

A length is measured as 100.0 m with an uncertainty of ±0.5 m. What is the significant figure of the measurement?
  • Step 1: Identify the measurement given, which is 100.0 m.
  • Step 2: Look at the digits in the measurement. The digits are 1, 0, 0, and 0.
  • Step 3: Count the number of significant figures. The digit '1' is significant, the first '0' is significant because it is after a non-zero digit, the second '0' is also significant for the same reason, and the last '0' is significant because it is after a decimal point.
  • Step 4: Since all four digits (1, 0, 0, 0) are significant, the total count of significant figures is 4.
  • Significant Figures – Significant figures are the digits in a number that contribute to its precision, including all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.
  • Measurement Uncertainty – Uncertainty in a measurement indicates the range within which the true value is expected to lie, and it affects the number of significant figures in the reported measurement.
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